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Popular >

inflection f(x)=xe^{-2x}

Solution

inflection points

f (x) = x e^{- 2 x}

Solution

(1, \frac{1}{e ^{2}})

Solution steps

f^{''} (x) = 4 e^{- 2 x} (x - 1)

Find intervals:

Concave Downward

: - \infty < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = 1

into

x e^{- 2 x} : \frac{1}{e ^{2}}

(1, \frac{1}{e ^{2}})

Popular Examples

range of f(x)=(3x+6)/(x-1)range

f (x) = \frac{3 x + 6}{x - 1}

range of f(x)=((x+3))/((x+1))range

f (x) = \frac{( x + 3 )}{( x + 1 )}

domain of sqrt(x+9)+sqrt(x+8)domain

x + 9 + x + 8

line (-3,2),(2,-6)line

(- 3, 2), (2, - 6)

symmetry (2x^2+4x-6)/(x^2+3x-10)symmetry

\frac{2 x ^{2} + 4 x - 6}{x ^{2} + 3 x - 10}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=xe^{-2x} ?
The inflection f(x)=xe^{-2x} is (1, 1/(e^2))